On Foundation of the Department of Numerical Mathematics as a
Scientific Research Institute at the USSR Academy of Sciences

The Institute of Numerical Mathematics of the Russian Academy of Sciences (INM
RAS) acts in line with the current edition of the General Principles of the Structure
and Scientific Research of RAS Institutes. Academician Guri Marchuk is the founder
and director of INM RAS from 1980 to 2000 (the honorary director from 2000 to present).
The current director of INM RAS is Academician Valentin Dymnikov (from 2000 to present).
The research staff involves a total of 28 Dr.Sci. (including 3 Academicians and
2 Correspoding Member) and more than 30 Cand.Sci. The Institute of Numerical Mathematics is
a unique scientific research institution engaged in solving both fundamental and applied
problems of interdisciplinary character. Joining the efforts of leading scientists in
computational mathematics, atmospheric and oceanic physics, and mathematical
immunology is a top priority.

methods
for constructing extremal polynomials with given properies and relevant high-efficiency methods for solving stiff problems of mathematical physics;

a
unified approach to analyzing the structure of algorithms of computational mathematics for their adaptation to computers of different architecture, principles of software design for solving complex problems on parallel computers;

new approaches to the application of adjoint equations in linear and nonlinear problems of mathematical physics and, on their basis, constructing a theory for the sensitivity of problem functionals and a theory of perturbations;

foundations of a new direction in the theory of climate - the mathematical theory of climate;

models of climate on the basis of a global model of atmospheric and oceanic general circulation of high spatial resolution;

implementation of the model on modern parallel and pipeline computing systems;

a set of mathematical models and methods for problems in environment and medicine (chemical transformation and transport of pollutants in the atmosphere, soil, and ocean;

models for the evolution and behavior of viral, bacterial, and mixed infections, relation of demographic indicators with parameters of organisms and environmental factors: analyis and assimilation of data for space monitoring over the state of the biosphere.

programs of basic research of the Presidium and branches of the Russian Academy of Sciences;

projects of the Russian Foundation for Basic Research;

federal and regional programs of the Federal Agency on Science and Innovations (formerly, Minpromnauki): "World Ocean", "Research on Priority Directions of Scientific and Technical Development", and "Multipurpose Long-Term Program of Scientific and Technical Collaboration Between Russian Federation and India";

INM scientists are members of editorial boards of the following scientific societies: Znanie (academician Marchuk), European Academy of Sciences (academicians Dymnikov and Marchuk), Scientific-Methodical Council on Mathematics at the Russian Ministry of Education, National Geophyisical Committee of Russia, American Mathematical Society, German Society of Applied Mathematics and Mechanics, etc.;

International collaboration with Bulgaria (within the framework of inter-academy accords), University of Lund (Royal Swedish Academy of Sciences), University of Jyvaskyla (Finland), Indian Technological Institute of the Center for Atmospheric Reseach (New-Delhi, India), Institute of Marine Sciences of Hamburg University (Germany), l'Universite du Littoral Cote d'Opale (Dunkerque, France), Etonian Marine Institute (Tallinn, Estonia), Universities of Nancy and Grenoble (France) (within the framework of French-Russian Center on Applied Mathematics), India (within the framework of the Long-Term Joint Program of Collaboration beetwen Russia and India).